The Mixed Mortar Finite Element Method for the Incompressible Stokes Problem: Convergence Analysis

Our purpose is to prove that the mortar element method, using local compatible mixed finite elements, provides optimal convergence results when applied to the incompressible Stokes equations.

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Bibliographic Details
Published in:SIAM journal on numerical analysis 2000, Vol.37 (4), p.1085-1100
Main Author: Ben Belgacem, Faker
Format: Article
Language:English
Subjects:
Approximation
Connectivity
Decomposition
Discrete problems
Eigenvalues
Exact sciences and technology
Finite element analysis
Finite element method
Lagrange multipliers
Mathematical functions
Mathematics
Mortars
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, boundary value problems
Saddle points
Sciences and techniques of general use
Spectral methods
Velocity
Viscosity
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Description
Summary:Our purpose is to prove that the mortar element method, using local compatible mixed finite elements, provides optimal convergence results when applied to the incompressible Stokes equations.
ISSN:0036-1429
1095-7170
DOI:10.1137/S0036142997329220